I have a notebook on the unfolding of the pitch fork bifurcation that
you can download from
http://www.higgins.ucdavis.edu/UCDMath/NLDApplications.php
The notebook is called imperfect bifurcation
The notebook shows how to plot the 3 dimensional surface (the
catastrophe surface) that displays the unfolding of the bifurcation
point.
Cheers,
Brian
dwarnold45 at cox.net wrote:
> All,
>
> Has anyone done a bifurcation analysis of dx/dt=h+rx-x^3, where h and r
> are parameters?
>
> I am looking for some mathematica code that will darw cusp catastrophe
> surface above bifurcation curves in the (r,h) plane.
>
> Thanks.